0.00/0.00	% File    : /export/starexec/sandbox/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : original
0.00/0.00	% Variant    : purification_int
0.00/0.00	% Ordering    : kbo
0.00/0.00	% Command    : 
0.00/0.00	#!/bin/sh
0.00/0.00	
0.00/0.00	./zipperposition.native ${1:+"$1"} \
0.00/0.00	  -i tptp \
0.00/0.00	  -o tptp \
0.00/0.00	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.00	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.00	  --no-avatar \
0.00/0.00	  --ho \
0.00/0.00	  --force-ho \
0.00/0.00	  --no-ho-elim-pred-var \
0.00/0.00	  --ho-general-ext-pos \
0.00/0.00	  --no-ho-unif \
0.00/0.00	  --no-induction \
0.00/0.00	  --no-unif-pattern \
0.00/0.00	  --ord $2  \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --ho-purify int \
0.00/0.00	  --ho-no-ext-pos \
0.00/0.00	  --ho-no-ext-neg \
0.00/0.00	  --ho-prim-enum none \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --dont-select-ho-var-lits \
0.00/0.00	  --no-fool
0.00/0.19	% Computer   : n064.star.cs.uiowa.edu
0.00/0.19	% Model      : x86_64 x86_64
0.00/0.19	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.19	% Memory     : 32218.625MB
0.00/0.19	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.19	% CPULimit   : 300
0.00/0.19	% DateTime   : Fri Feb  2 17:18:40 CST 2018
0.00/0.20	% done 28 iterations in 0.010s
0.00/0.20	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
0.00/0.20	% SZS output start Refutation
0.00/0.21	tff(breln1unionI, conjecture,
0.00/0.21	  (breln1unionIL =>
0.00/0.21	   (breln1unionIR =>
0.00/0.21	    (![A,R]:
0.00/0.21	       (breln1(A,R) =>
0.00/0.21	        (![S]:
0.00/0.21	           (breln1(A,S) =>
0.00/0.21	            (![Xx]:
0.00/0.21	               (in(Xx,A) =>
0.00/0.21	                (![Xy]:
0.00/0.21	                   (in(Xy,A) =>
0.00/0.21	                    ((in(kpair(Xx,Xy),S) | in(kpair(Xx,Xy),R)) =>
0.00/0.21	                     in(kpair(Xx,Xy),binunion(R,S)))))))))))))).
0.00/0.21	tff(zf_stmt_0, negated_conjecture,
0.00/0.21	  (~
0.00/0.21	    (breln1unionIL =>
0.00/0.21	     (breln1unionIR =>
0.00/0.21	      (![A,R]:
0.00/0.21	         (breln1(A,R) =>
0.00/0.21	          (![S]:
0.00/0.21	             (breln1(A,S) =>
0.00/0.21	              (![Xx]:
0.00/0.21	                 (in(Xx,A) =>
0.00/0.21	                  (![Xy]:
0.00/0.21	                     (in(Xy,A) =>
0.00/0.21	                      ((in(kpair(Xx,Xy),S) | in(kpair(Xx,Xy),R)) =>
0.00/0.21	                       in(kpair(Xx,Xy),binunion(R,S))))))))))))))).
0.00/0.21	tff('0', plain,
0.00/0.21	    (in(kpair(sk_Xx2, sk_Xy2), sk_S2) | in(kpair(sk_Xx2, sk_Xy2), sk_R2)),
0.00/0.21	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.21	tff('1', plain, breln1(sk_A2, sk_S2),
0.00/0.21	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.21	tff(breln1unionIR, axiom,
0.00/0.21	  (breln1unionIR <=>
0.00/0.21	   (![A,R]:
0.00/0.21	      (breln1(A,R) =>
0.00/0.21	       (![S]:
0.00/0.21	          (breln1(A,S) =>
0.00/0.21	           (![Xx]:
0.00/0.21	              (in(Xx,A) =>
0.00/0.21	               (![Xy]:
0.00/0.21	                  (in(Xy,A) =>
0.00/0.21	                   (in(kpair(Xx,Xy),S) => in(kpair(Xx,Xy),binunion(R,S))))))))))))).
0.00/0.21	tff('2', plain,
0.00/0.21	    ![X5, X6, X7, X8, X9]:
0.00/0.21	      (~ breln1(X5, X6)
0.00/0.21	       | ~ in(X7, X5)
0.00/0.21	       | ~ in(kpair(X7, X8), X9)
0.00/0.21	       | in(kpair(X7, X8), binunion(X6, X9))
0.00/0.21	       | ~ in(X8, X5)
0.00/0.21	       | ~ breln1(X5, X9)
0.00/0.21	       | ~ breln1unionIR),
0.00/0.21	    inference('cnf', [status(esa)], [breln1unionIR])).
0.00/0.21	tff('3', plain, breln1unionIR, inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.21	tff('4', plain,
0.00/0.21	    ![X5, X6, X7, X8, X9]:
0.00/0.21	      (~ breln1(X5, X6)
0.00/0.21	       | ~ in(X7, X5)
0.00/0.21	       | ~ in(kpair(X7, X8), X9)
0.00/0.21	       | in(kpair(X7, X8), binunion(X6, X9))
0.00/0.21	       | ~ in(X8, X5)
0.00/0.21	       | ~ breln1(X5, X9)
0.00/0.21	       | ~ $true),
0.00/0.21	    inference('demod', [status(thm)], ['2', '3'])).
0.00/0.21	tff('5', plain,
0.00/0.21	    ![X5, X6, X7, X8, X9]:
0.00/0.21	      (~ breln1(X5, X9)
0.00/0.21	       | ~ in(X8, X5)
0.00/0.21	       | in(kpair(X7, X8), binunion(X6, X9))
0.00/0.21	       | ~ in(kpair(X7, X8), X9)
0.00/0.21	       | ~ in(X7, X5)
0.00/0.21	       | ~ breln1(X5, X6)),
0.00/0.21	    inference('simplify', [status(thm)], ['4'])).
0.00/0.21	tff('6', plain,
0.00/0.21	    ![X0, X1, X2]:
0.00/0.21	      (~ $true
0.00/0.21	       | ~ breln1(sk_A2, X0)
0.00/0.21	       | ~ in(X1, sk_A2)
0.00/0.21	       | ~ in(kpair(X1, X2), sk_S2)
0.00/0.21	       | in(kpair(X1, X2), binunion(X0, sk_S2))
0.00/0.21	       | ~ in(X2, sk_A2)),
0.00/0.21	    inference('sup-', [status(thm)], ['1', '5'])).
0.00/0.21	tff('7', plain,
0.00/0.21	    ![X0, X1, X2]:
0.00/0.21	      (~ in(X2, sk_A2)
0.00/0.21	       | in(kpair(X1, X2), binunion(X0, sk_S2))
0.00/0.21	       | ~ in(kpair(X1, X2), sk_S2)
0.00/0.21	       | ~ in(X1, sk_A2)
0.00/0.21	       | ~ breln1(sk_A2, X0)),
0.00/0.21	    inference('simplify', [status(thm)], ['6'])).
0.00/0.21	tff('8', plain, ~ in(kpair(sk_Xx2, sk_Xy2), binunion(sk_R2, sk_S2)),
0.00/0.21	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.21	tff('9', plain,
0.00/0.21	    (~ $true
0.00/0.21	     | ~ breln1(sk_A2, sk_R2)
0.00/0.21	     | ~ in(sk_Xx2, sk_A2)
0.00/0.21	     | ~ in(kpair(sk_Xx2, sk_Xy2), sk_S2)
0.00/0.21	     | ~ in(sk_Xy2, sk_A2)),
0.00/0.21	    inference('sup-', [status(thm)], ['7', '8'])).
0.00/0.21	tff('10', plain, breln1(sk_A2, sk_R2),
0.00/0.21	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.21	tff('11', plain, in(sk_Xx2, sk_A2),
0.00/0.21	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.21	tff('12', plain, in(sk_Xy2, sk_A2),
0.00/0.21	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.21	tff('13', plain,
0.00/0.21	    (~ $true
0.00/0.21	     | ~ $true
0.00/0.21	     | ~ $true
0.00/0.21	     | ~ in(kpair(sk_Xx2, sk_Xy2), sk_S2)
0.00/0.21	     | ~ $true),
0.00/0.21	    inference('demod', [status(thm)], ['9', '10', '11', '12'])).
0.00/0.21	tff('14', plain, ~ in(kpair(sk_Xx2, sk_Xy2), sk_S2),
0.00/0.21	    inference('simplify', [status(thm)], ['13'])).
0.00/0.21	tff('15', plain, (~ $true | in(kpair(sk_Xx2, sk_Xy2), sk_R2)),
0.00/0.21	    inference('sup-', [status(thm)], ['0', '14'])).
0.00/0.21	tff('16', plain, in(kpair(sk_Xx2, sk_Xy2), sk_R2),
0.00/0.21	    inference('simplify', [status(thm)], ['15'])).
0.00/0.21	tff(breln1unionIL, axiom,
0.00/0.21	  (breln1unionIL <=>
0.00/0.21	   (![A,R]:
0.00/0.21	      (breln1(A,R) =>
0.00/0.21	       (![S]:
0.00/0.21	          (breln1(A,S) =>
0.00/0.21	           (![Xx]:
0.00/0.21	              (in(Xx,A) =>
0.00/0.21	               (![Xy]:
0.00/0.21	                  (in(Xy,A) =>
0.00/0.21	                   (in(kpair(Xx,Xy),R) => in(kpair(Xx,Xy),binunion(R,S))))))))))))).
0.00/0.21	tff('17', plain,
0.00/0.21	    ![X0, X1, X2, X3, X4]:
0.00/0.21	      (~ breln1(X0, X1)
0.00/0.21	       | ~ in(X2, X0)
0.00/0.21	       | ~ in(kpair(X2, X3), X1)
0.00/0.21	       | in(kpair(X2, X3), binunion(X1, X4))
0.00/0.21	       | ~ in(X3, X0)
0.00/0.21	       | ~ breln1(X0, X4)
0.00/0.21	       | ~ breln1unionIL),
0.00/0.21	    inference('cnf', [status(esa)], [breln1unionIL])).
0.00/0.21	tff('18', plain, breln1unionIL, inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.21	tff('19', plain,
0.00/0.21	    ![X0, X1, X2, X3, X4]:
0.00/0.21	      (~ breln1(X0, X1)
0.00/0.21	       | ~ in(X2, X0)
0.00/0.21	       | ~ in(kpair(X2, X3), X1)
0.00/0.21	       | in(kpair(X2, X3), binunion(X1, X4))
0.00/0.21	       | ~ in(X3, X0)
0.00/0.21	       | ~ breln1(X0, X4)
0.00/0.21	       | ~ $true),
0.00/0.21	    inference('demod', [status(thm)], ['17', '18'])).
0.00/0.21	tff('20', plain,
0.00/0.21	    ![X0, X1, X2, X3, X4]:
0.00/0.21	      (~ breln1(X0, X4)
0.00/0.21	       | ~ in(X3, X0)
0.00/0.21	       | in(kpair(X2, X3), binunion(X1, X4))
0.00/0.21	       | ~ in(kpair(X2, X3), X1)
0.00/0.21	       | ~ in(X2, X0)
0.00/0.21	       | ~ breln1(X0, X1)),
0.00/0.21	    inference('simplify', [status(thm)], ['19'])).
0.00/0.21	tff('21', plain,
0.00/0.21	    ![X0, X1, X2]:
0.00/0.21	      (~ $true
0.00/0.21	       | ~ breln1(sk_A2, X0)
0.00/0.21	       | ~ in(X1, sk_A2)
0.00/0.21	       | ~ in(kpair(X1, X2), X0)
0.00/0.21	       | in(kpair(X1, X2), binunion(X0, sk_S2))
0.00/0.21	       | ~ in(X2, sk_A2)),
0.00/0.21	    inference('sup-', [status(thm)], ['1', '20'])).
0.00/0.21	tff('22', plain,
0.00/0.21	    ![X0, X1, X2]:
0.00/0.21	      (~ in(X2, sk_A2)
0.00/0.21	       | in(kpair(X1, X2), binunion(X0, sk_S2))
0.00/0.21	       | ~ in(kpair(X1, X2), X0)
0.00/0.21	       | ~ in(X1, sk_A2)
0.00/0.21	       | ~ breln1(sk_A2, X0)),
0.00/0.21	    inference('simplify', [status(thm)], ['21'])).
0.00/0.21	tff('23', plain,
0.00/0.21	    (~ $true
0.00/0.21	     | ~ breln1(sk_A2, sk_R2)
0.00/0.21	     | ~ in(sk_Xx2, sk_A2)
0.00/0.21	     | ~ in(kpair(sk_Xx2, sk_Xy2), sk_R2)
0.00/0.21	     | ~ in(sk_Xy2, sk_A2)),
0.00/0.21	    inference('sup-', [status(thm)], ['22', '8'])).
0.00/0.21	tff('24', plain,
0.00/0.21	    (~ $true
0.00/0.21	     | ~ $true
0.00/0.21	     | ~ $true
0.00/0.21	     | ~ in(kpair(sk_Xx2, sk_Xy2), sk_R2)
0.00/0.21	     | ~ $true),
0.00/0.21	    inference('demod', [status(thm)], ['23', '10', '11', '12'])).
0.00/0.21	tff('25', plain, ~ in(kpair(sk_Xx2, sk_Xy2), sk_R2),
0.00/0.21	    inference('simplify', [status(thm)], ['24'])).
0.00/0.21	tff('26', plain, ~ $true, inference('sup-', [status(thm)], ['16', '25'])).
0.00/0.21	tff('27', plain, $false, inference('simplify', [status(thm)], ['26'])).
0.00/0.21	
0.00/0.21	% SZS output end Refutation
0.00/0.21	EOF
